225968900 has 36 divisors (see below), whose sum is σ = 516164880. Its totient is φ = 85629600.

The previous prime is 225968893. The next prime is 225968923. The reversal of 225968900 is 9869522.

225968900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57566 + ... + 61365.

Almost surely, 2^225968900 is an apocalyptic number.

225968900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225968900 is an abundant number, since it is smaller than the sum of its proper divisors (290195980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

225968900 is a wasteful number, since it uses less digits than its factorization.

225968900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118964 (or 118957 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 225968900 is about 15032.2619721717. The cubic root of 225968900 is about 609.0919931531.

The spelling of 225968900 in words is "two hundred twenty-five million, nine hundred sixty-eight thousand, nine hundred".